EXACT TRAVELING-WAVE SOLUTIONS TO NONLINEAR DIFFUSION AND WAVE-EQUATIONS

被引：8
|
作者：
YANG, ZJ [1 ]
DUNLAP, RA [1 ]
GELDART, DJW [1 ]
机构：
[1] DALHOUSIE UNIV,DEPT PHYS,HALIFAX,NS B3H 3J5,CANADA
来源：
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 1994年 / 33卷 / 10期
关键词：
D O I：
10.1007/BF00675171
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
By the introduction of some ansatz equations, we have obtained several new classes of traveling (solitary) wave solutions to the nonlinear diffusion equation f(1)(u)u(1) + f(2)(u)u(x) + f(3)(u)(xx) + f(4)(u)u(x)(2) = f(5)(u) and the nonlinear wave equation f(1)(u)u(u) + f(2)(u)u(1) + f(3)(u)u(xx) + f(4)(u)u(x) + f(5)(u)(x)(2)+ ... = f(6)(u) Some applications of these solutions are discussed.
引用
收藏
页码：2057 / 2065
页数：9
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